In the end, it doesn't matter. There is always only one flu virus strain active (dominant). This is because of how our immune system works: When a virus is present, the innate arm of the immune system is hyper active and prevents any other virus from entering the system. Some say that SARS-2 is a flu virus (wich is legit because there are so many different influenza viruses, no problem to add another one), some say that SARS-2 is different (which is true on the genetic level), but the variants that can spread better will survive (and causing less severe symptoms helps in spreading because the hosts run around), so in the end SARS-2 will only cause flu-like symptoms. Omicron is the dominant seasonal flu now.